Please help! Correct answer only!


You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 20. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $34. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?

Answer: optiond solve the values to get the answer

Best of luck for the test

Answer: x < 2

Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3

to both sides of the inequality to get x < 2.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

Answer:

see below

Step-by-step explanation:

bag: 3 red + 2 black = 5 total

Box: 4 green + 1 yellow = 5 total

P(red) = number of red/ total in bag = 3/5

P(green) = number of green / total in box = 4/5

P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25

Answer:

C = 40 + 0.17M

Step-by-step explanation:

Total monthly charge = Fixed base fee + charge per minute*total number of minutes

C = 40 + 0.17*M

C = 40 + 0.17M

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

Answer:

7 times x

Step-by-step explanation:

When the expression is seen, we can say that it displays 7 times x.

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

Learn more about the trigonometric ratios here:

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Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)

Answer:

16 cm

Bob is correct

Step-by-step explanation:

Perimeter of a square = 4 × side’s length

Then

the side length = 64/4 = 16

Answer:

perimeter of square =4l

64/4cm=l

l=16cm

therefore

bob is correct.

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Answer:

Step-by-step explanation:

Recall the logic quantifiers [tex]\forall, \exists[/tex] which means for all/for every and exists.

a) This means that for every student in D that is a computer science this implies that the student is not an engineering student. So for a student s in D such that C(s) then  E(s) is false. This is symboled by

[tex]\forall s \in D C(s) \implies \neg E(s)[/tex]

b) By saying "some computer science students" this means that there exists some studenst that study computer science and are also math majors. This is symboled by

[tex]\exists s \in D C(s)\land M(s) [/tex]

Answer:

3/14

Step-by-step explanation:

There’s 14 marbles total and only 3 are orange

Answer:

[tex]63[/tex]

Step-by-step explanation:

[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]

Answer:

[tex]\dfrac{2s^3+136}{s}[/tex]

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = [tex]34$ ft^3[/tex]

Volume of the box =[tex]s^2h[/tex]

Then:

[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]

[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]

Answer:

The equivalent fraction is:   [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

which agrees with the second answer in the list of options

Step-by-step explanation:

Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:  

[tex]5-\sqrt{10\,x}[/tex]

Therefore we have:

[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Then this is the equivalent rationalized expression:

[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]

Answer:

B.

Step-by-step explanation:

A P E X

Answer:

so the answer is f, the last one

Answer:

x=11/36

Step-by-step explanation:

1. Move the 4/9 to the right side to isolate valu e"x."

2. Create a common denominator between "4/9" and "3/4"

3. Your equation should look like this;

x=3/4-4/9

x=27/36-16/36

x=11/36

Answer:

11/36

Step-by-step explanation:

all work is in the image below!

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

Answer:

The inverse is 1/4x

Step-by-step explanation:

f(x) = 4x

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

1/4x = 4y/4

1/4x = y

The inverse is 1/4x

Answer:

y=(1/4)*x

Step-by-step explanation:

to inverse set f(x)=4x

as y=4x

next, change places y and x

4y=x

now, solve for y

4y=x

y=(1/4)*x

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

Answer:

[tex]y = - 15 \\ x = - 94[/tex]

Step-by-step explanation:

it's not both of dem

The solution to the system of equations is x= −133/ 40 and y= −21/ 20

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+ y= -21 is equation (1)

2x - 13y= 7 is equation (2)

Solve 6x+y=−21 for y:

6x+y=−21

6x+y+−6x=−21+−6x

y=−6x−21

Substitute −6x−21 for y in 2x−13y=7:

2x−13y=7

2x−13(−6x−21)=7

80x+273=7

Now Simplify both sides of the equation;

80x+273+−273=7+−273

Add -273 to both sides

80x=−266

x= −133/ 40

y=−6x−21

y=−6( −133 /40 )−21

y= −21/ 20

Hence x= −133/ 40 and y= −21/ 20

learn more about system of equations here;

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Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

Answer:

4

Step-by-step explanation:

g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14

|f(2)| = | 2^2 -3| = | 4-3| = 1

(g(3) +2) = (14+2) = 16

4*  |f(2)|  = 4*1 = 4

16/4 = 4

Answer:

Domain of the given function is all real numbers i.e. R.

Step-by-step explanation:

It is given that the given graph is a V shaped graph.

It is crossing x - axis at [tex](-2,0)[/tex]

then y-axis at [tex](0,-2)[/tex] and

then again x - axis at [tex](2,0)[/tex].

If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex]  and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].

Please find attached graph for the same.

This graph denotes the following function:

[tex]y=f(x)=|x|-2[/tex]

Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.

Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.

Modulus function has R as its domain.

So, the answer is:

Domain of given function is all Real Numbers, R

Answer:

A on edg. all real numbers

Step-by-step explanation:

Answer:

1.5625g would remain after 30 seconds

Step-by-step explanation:

When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.

More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass

Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.

Since it is just 5 half lives, we can proceed manually

In the first, we shall have 25g left

in the second, we shall have 12.5g left

In the third, we shall have 6.25g left

In fourth, we shall have have 3.125g left

and finally, in the fifth, we shall have 1.5625g

Answer:

AC=22

AB=11

BC=33

Step-by-step explanation:

[tex]2(3x - 4) = 2x + 12 [/tex]

6x-8=2x+12

12+8=6x-2x

20=4x

x=5

∴AC=2(5)+12=22

∴AB=3(5)-4=11

∴BC=7(5)-2=33

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

Where [tex]b[/tex] is the y-intercept.

[tex]y=3x+5[/tex]

[tex]b=5[/tex]

Answer:

-3 is the slope

5 is the intercept

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!